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Question

The converse of the conditional statement "If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other" is :
  1. If rhombus is a quadrilateral then its perpendicular bisectors are diagonals to each other.
  2. If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other
  3. None of the above
  4. If the diagonals of a quadrilateral are perpendicular bisectors of each other then it is a rhombus.


Solution

The correct option is D If the diagonals of a quadrilateral are perpendicular bisectors of each other then it is a rhombus.
If the antecedent and consequent in a given conditional statement are interchanged, the resulting statement is called the converse of the given statement. 
The converse of the conditional statement "If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other" is, "If the diagonals of a quadrilateral are perpendicular bisectors of each other then it is a rhombus."

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